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Finding the Fourth Proportional to 102,859.76, 154,304.40 and 31,788.62

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Solution

The fourth proportional to 102,859.76, 154,304.40 and 31,788.62 is: 47,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,859.76 : 154,304.40 = 31,788.62 : x
  2. Step 2: Convert to fraction form
    102,859.76/154,304.40 = 31,788.62/x
  3. Step 3: Cross multiply
    102,859.76x = 154,304.40 × 31,788.62
  4. Step 4: Simplify right side
    102,859.76x = 4,905,123,935.93
  5. Step 5: Solve for x
    x = 4,905,123,935.93/102,859.76
  6. Step 6: Final answer
    x = 47,687.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.